What is the Least Common Multiple of 31056 and 31065?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 31056 and 31065 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31056 and 31065, than apply into the LCM equation.

GCF(31056,31065) = 3
LCM(31056,31065) = ( 31056 × 31065) / 3
LCM(31056,31065) = 964754640 / 3
LCM(31056,31065) = 321584880

Least Common Multiple (LCM) of 31056 and 31065 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31056 and 31065. First we will calculate the prime factors of 31056 and 31065.

Prime Factorization of 31056

Prime Factorization of 31065

Now multiplying the highest exponent prime factors to calculate the LCM of 31056 and 31065.

LCM(31056,31065) = 2⁴ × 3¹ × 647¹ × 5¹ × 19¹ × 109¹
LCM(31056,31065) = 321584880